Stench terrible with decay in New York City (11)

I believe the answer is:

schenectady

'new york city' is the definition.
(city in New York state)

'stench terrible with decay' is the wordplay.
'terrible with' is an anagram indicator.
'stench' mixed up with 'decay' makes 'SCHENECTADY'.

'in' is the link.

I've seen this clue in The Times.

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